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Finding the Third Proportional to 184,430 and 278,340

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Solution

The third proportional to 184,430 and 278,340 is: 420,068.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,430 : 278,340 = 278,340 : x
  2. Step 2: Convert to fraction form
    184,430/278,340 = 278,340/x
  3. Step 3: Cross multiply
    184,430x = 278,340 × 278,340
  4. Step 4: Simplify right side
    184,430x = 77,473,155,600
  5. Step 5: Solve for x
    x = 77,473,155,600/184,430
  6. Step 6: Final answer
    x = 420,068.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.